What is 3cos(2x+1/3 pi) ?

The solution to 3cos(2x+1/3 pi) is 3(1/2 cos(2x)-(sqrt(3))/2 sin(2x))

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simplify 3cos(2x+1/3 pi)

simplify

3 cos (2 x + \frac{1}{3} π)

3 (\frac{1}{2} cos (2 x) - \frac{3}{2} sin (2 x))

Solution steps

3 cos (2 x + \frac{1}{3} π)

Rewrite using trig identities

= 3 (\frac{1}{2} cos (2 x) - \frac{3}{2} sin (2 x))

sin (2 x + 2 π)

sin (u + \frac{π}{3})

(1 - cos (t)) - (1 - cos (t - π))

cos (a + \frac{π}{2})

10 cos (120 π t + 3 0^{\circ})

What is 3cos(2x+1/3 pi) ?
The solution to 3cos(2x+1/3 pi) is 3(1/2 cos(2x)-(sqrt(3))/2 sin(2x))